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Created on: 2012-04-06

A sample problem solved by Quickmath online math solver

solving x^2-8*x+15 = 0 equation | partial fraction decomposition of (14*x+46)/(2*x^3+3*x^2+8*x+12)

Command

Expand

Expression

(s+4)^2*(s+4+4*%i)*(s+4+(-4)*%i)

  1. A product of 3 factors; the first factor of the product is equal to a power; the base is a sum that consists of 2 terms; the first term of the sum is equal to s; the second term of the sum is equal to four; the exponent is two; the second factor of the product is equal to a sum that comprises 3 terms; the first term of the sum is s; the second term of the sum is equal to four; the third term of the sum is equal to a product that contains 2 factors; the first factor of the product is equal to four; the second factor of the product is i; the third factor of the product is equal to a sum containing 3 terms; the first term of the sum is equal to s; the second term of the sum is equal to four; the third term of the sum is a product of 2 factors; the first factor of the product is negative four; the second factor of the product is equal to i;
  2. opening parenthesis s plus four closing parenthesis raised to the power two multiplied by open parenthesis s plus four plus four times i close parenthesis times open parenthesis s plus four plus opening parenthesis negative four closing parenthesis multiplied by i close parenthesis.

Result

s^4+16*s^3+112*s^2+384*s+512

  1. A sum containing 5 terms. The first term of the sum is a power. The base is s. The exponent is four. The second term of the sum is equal to a product that consists of 2 factors. The first factor of the product is equal to sixteen. The second factor of the product is equal to a power. The base is s. The exponent is three. The third term of the sum is equal to a product that contains 2 factors. The first factor of the product is equal to one hundred twelve. The second factor of the product is a power. The base is s. The exponent is two. The four term of the sum is a product comprising 2 factors. The first factor of the product is three hundred and eighty four. The second factor of the product is equal to s. The five term of the sum is equal to five hundred and twelve.
  2. s to the power four plus sixteen multiplied by s raised to the power three plus one hundred twelve multiplied by s to the power two plus three hundred and eighty four times s plus five hundred and twelve.